21201001010112 has 448 divisors, whose sum is σ = 70142772510720. Its totient is φ = 5490483609600.

The previous prime is 21201001010023. The next prime is 21201001010171. The reversal of 21201001010112 is 21101010010212.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9468958689 + ... + 9468960927.

It is an arithmetic number, because the mean of its divisors is an integer number (156568688640).

Almost surely, 2^{21201001010112} is an apocalyptic number.

21201001010112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201001010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35071386255360).

21201001010112 is an abundant number, since it is smaller than the sum of its proper divisors (48941771500608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21201001010112 is a wasteful number, since it uses less digits than its factorization.

21201001010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21201001010112 its reverse (21101010010212), we get a palindrome (42302011020324).

The spelling of 21201001010112 in words is "twenty-one trillion, two hundred one billion, one million, ten thousand, one hundred twelve".